Simple-zero and double-zero singularities of a Kaldor-Kalecki model of business cycles with delay.
Wu, Xiaoqin P. (2009)
Discrete Dynamics in Nature and Society
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Displaying similar documents to “Bifurcation analysis of a Kaldor-Kalecki model of business cycle with time delay.”
Simple-zero and double-zero singularities of a Kaldor-Kalecki model of business cycles with delay.
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Double Hopf bifurcation with strong resonances in delayed systems with nonlinearities.
Xu, J., Chung, K.W. (2009)
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Local Bifurcations in a Nonlinear Model of a Bioreactor
Dimitrova, Neli (2009)
Serdica Journal of Computing
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This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02– 359/2008. We consider a nonlinear model of a continuously stirred bioreactor and study the stability of the equilibrium points with respect to practically important model parameters. We determine regions in the parameter space where the steady states undergo transcritical and Hopf bifurcations. In the latter case, the stability of the emerged limit cycles is also studied. Numerical simulations...
A predator-prey model in the chemostat with time delay.
Fan, Guihong, Wolkowicz, Gail S.K. (2010)
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De Carvalho Braga, Denis, Mello, Luis Fernando, Messias, Marcelo (2009)
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Bifurcation analysis of Rössler system with multiple delayed feedback.
Xu, Meihong, Wei, Yuan, Wei, Junjie (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Hopf bifurcation analysis of some hyperchaotic systems with time-delay controllers
Lan Zhang, Cheng Jian Zhang (2008)
Kybernetika
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A four-dimensional hyperchaotic Lü system with multiple time-delay controllers is considered in this paper. Based on the theory of Hopf bifurcation in delay system, we obtain a simple relationship between the parameters when the system has a periodic solution. Numerical simulations show that the assumption is a rational condition, choosing parameter in the determined region can control hyperchaotic Lü system well, the chaotic state is transformed to the periodic orbit. Finally, we consider...